The Prism tableau model for Schubert polynomials
The Prism tableau model for Schubert polynomials
复制标题
舒伯特多项式的 Prism 画面模型
DOI:
10.1016/j.jcta.2017.09.009
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发表时间:
2015
期刊:
影响因子:
--
通讯作者:
A. Yong
中科院分区:
文献类型:
--
作者:
Anna Weigandt;A. Yong
The Schubert polynomials lift the Schur basis of symmetric polynomials into a basis for Z [x 1, x 2,…]. We suggest the prism tableau model for these polynomials. A novel aspect of this alternative to earlier results is that it directly invokes semistandard tableaux; it does so as part of a colored tableau amalgam. In the Grassmannian case, a prism tableau with colors ignored is a semistandard Young tableau. Our arguments are developed from the Gröbner geometry of matrix Schubert varieties.